/Rolling-Ellipse-Dynamical-System-Simulation

Matlab Simulation of Rolling Ellipse - using Lagrange multipliers, dynamical equations of motion

Primary LanguageMATLAB

Simulation of Rolling Ellipse

This is side project which was under taken to simulate a constrained rolling ellipse using concepts of Lagrangians (lagrange multiplier method), generalized coordinates, Euler-Lagrange equation.

  • The following procedure is followed in order to simulate a rolling ellipse in Matlab
    • Defining coordinate systems and constraints
    • Finding the equations of motions
    • Representation of the state-space equations3
    • Simulations in Matlab.